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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2008 Volume 20, Number 3, Pages 77–86 (Mi mm2162)

This article is cited in 6 papers

Analytic solution of single-phase Stefan problem

È. M. Kartashov, G. S. Krotov

M. V. Lomonosov Moscow State Academy of Fine Chemical Technology

Abstract: Authors found analytic solutions of Stefan problem with different boundary conditions on $x=0$ surface by means of the method of differential rows and the method of general integral transformation. They showed the equivalence of these solutions in a confluent domain, i.e. $y(0)=0$. Authors considered a few particular cases of general solutions in dimensionless variables and drew their graphs. Authors found coefficients of proportionality in the law of moving of a boundary in the tenth decimal place.

Received: 09.08.2007


 English version:
Mathematical Models and Computer Simulations, 2009, 1:2, 180–188

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